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Finding the Fourth Proportional to 9,855.48, 14,772.64 and 4,915.36

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Solution

The fourth proportional to 9,855.48, 14,772.64 and 4,915.36 is: 7,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.48 : 14,772.64 = 4,915.36 : x
  2. Step 2: Convert to fraction form
    9,855.48/14,772.64 = 4,915.36/x
  3. Step 3: Cross multiply
    9,855.48x = 14,772.64 × 4,915.36
  4. Step 4: Simplify right side
    9,855.48x = 72,612,843.75
  5. Step 5: Solve for x
    x = 72,612,843.75/9,855.48
  6. Step 6: Final answer
    x = 7,367.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.